A horizontal circular platform has a weight of 300 lb and a radius of gyration kz = 8 ft...

A horizontal circular platform has a weight of 300 lb and a radius of gyration k_z = 8 ft about the z axis passing through its center O. The platform is free to rotate about the z axis and is initially at rest. A man having a weight of 150 lb begins to run along the edge in a circular path of radius 10 ft. If he maintains a speed of 4 ft/s relative to the platform, determine the angular velocity of the platform. Neglect friction.